Options
Rhodes, William T.
Preferred name
Rhodes, William T.
Official Name
Rhodes, William T.
Research Output
Now showing 1 - 3 of 3
- PublicationWigner cross-terms in sampled and other periodic signalsIf we sample a scalar wave field, it becomes periodic in frequency. We examine the cross-terms which occur between these periodic replicas in the Wigner-Ville distribution function of such a signal. We present analytic results for Gaussian signals. The results also have implications for physical systems which contain periodic gratings.
349 - PublicationOptical wave propagation simulation, Wigner phase-space diagrams, and wave energy confinement(Optical Society of America, 2005-10-16)
; ; The number of samples required for efficient numerical simulation of wave propagation can be determined by a combination of Wigner phase-space techniques, wave energy confinement arguments, and a theorem relating energy confinement to accuracy.357 - PublicationCross terms of the Wigner distribution function and aliasing in numerical simulations of paraxial optical systemsSampling a function periodically replicates its spectrum. As a bilinear function of the signal, the associated Wigner distribution function contains cross terms between the replicas. Often neglected, these cross terms affect numerical simulations of paraxial optical systems. We develop expressions for these cross terms and show their effect on an example calculation
542Scopus© Citations 12